Abstract: The displacements of the plate are assumed appropriately to derive the solutionsof the 3-D Navier equations. And the conditions on the plate’s surface are investigaled.In the examples. the boundary-value problems of the plate are solved by applying theNavier-equation’ s solutions and their closed-form solutions are obtained. The resultsformulated in the present paper satisfy exactly the governing equations and can reflectprecisely the boundary effects of complicated distributions on the edge of plates

Key words: plate, thick plate, displacement method, boundary-value problems, Navier equation